Second Year Math Chapter 2 Solved Exercises | Differentiation

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01Functions and Limits

672 Doubt Solutions

02Differentiation

1344 Doubt Solutions

2016 Doubt Solutions

04Introduction to Analytic Geometry

2688 Doubt Solutions

05Linear Inequalities and Linear Programming

3360 Doubt Solutions

06Conic Sections

4032 Doubt Solutions

4704 Doubt Solutions

$1. Apply the Maclaurin series expansion to prove that:(ii) \cos x=1-\frac{x^{2}}{2}+\frac{x^{4}}{4}-\frac{x^{6}}{16}+\ldots \ldots$

$1. Apply the Maclaurin series expansion to prove that:(ii) \cos x=1-\frac{x^{2}}{2}+\frac{x^{4}}{4}-\frac{x^{6}}{16}+\ldots \ldots$

$1. Find by definition the derivatives w.r.t x of the following functions defined as:\[\text { (xi) } x^{m} m \in N\]$

$1. Find by definition the derivatives w.r.t x of the following functions defined as:\[\text { (xi) } x^{m} m \in N\]$

$Find the derivative of \sqrt{x} at x=a from first principle$

$Find the derivative of \sqrt{x} at x=a from first principle$

$Example 5: Find the derivative of x^{3}+2 x+3$

$Example 5: Find the derivative of x^{3}+2 x+3$

$3. Find \frac{d y}{d x} if(iii) y=\tanh ^{-1}(\sin x) \frac{\pi}{2} x \frac{\pi}{2}$

$3. Find \frac{d y}{d x} if(iii) y=\tanh ^{-1}(\sin x) \frac{\pi}{2} x \frac{\pi}{2}$

$Example 3: Find \frac{d y}{d x} if y=\frac{\sqrt{a+x}+\sqrt{a-x}}{\sqrt{a+x}-\sqrt{a-x}} (x \neq 0)$

$Example 3: Find \frac{d y}{d x} if y=\frac{\sqrt{a+x}+\sqrt{a-x}}{\sqrt{a+x}-\sqrt{a-x}} (x \neq 0)$

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